Projectile Motion Activity

 In this activity, students use systems modeling to represent the components of velocity and displacement in two dimensions. They recognize that there is now a displacement in two dimensions, that the velocity at an angle has two components, and that by varying the angle, they can vary the distance traveled in the horizontal direction.

 TEACHER RESOURCES Teacher Materials Student Activity Learning   Goals/Standards COMPUTER MODELSTELLA Version isee Player Software Right-click to download the model Web-based Simulation COMPUTER MODELVensim Version Vensim PLE Software Right-click to download the model Projectile MotionVensim
 THE MODEL DIAGRAM THE EQUATIONS disp_x(t) = disp_x(t - dt) + (Rate_of_change_of_x_displacement) * dt INIT disp_x = 0 Rate_of_change_of_x_displacement = IF(disp_y>=0.2) then (X_VELOCITY) else 0 disp_y(t) = disp_y(t - dt) + (Rate_of_Change_of__Y_displacement) * dt INIT disp_y = 0 Rate_of_Change_of__Y_displacement = Y_VELOCITY X_VELOCITY(t) = X_VELOCITY(t - dt) INIT X_VELOCITY = initial_x_velocity Y_VELOCITY(t) = Y_VELOCITY(t - dt) + (Rate_of_Change_of__Y_Velocity) * dt INIT Y_VELOCITY = initial_y_velocity Rate_of_Change_of__Y_Velocity = Acceleration Acceleration = -9.8 {m/s/s} angle_in_degrees = 0 angle_in_radians = angle_in_degrees*(PI/180) Initial_Velocity = 100 {m/s} initial_x_velocity = Initial_Velocity*COS(angle_in_radians) initial_y_velocity = Initial_Velocity*SIN(angle_in_radians)

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